Basic Math Examples

$2 (3 p + 5) = p + 8 + 5 p$

Step 1

Since $p$ is on the right side of the equation, switch the sides so it is on the left side of the equation.

$p + 8 + 5 p = 2 (3 p + 5)$

Step 2

Add $p$ and $5 p$ .

$6 p + 8 = 2 (3 p + 5)$

Step 3

Simplify $2 (3 p + 5)$ .

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Step 3.1

Apply the distributive property.

$6 p + 8 = 2 (3 p) + 2 \cdot 5$

Step 3.2

Multiply.

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Step 3.2.1

Multiply $3$ by $2$ .

$6 p + 8 = 6 p + 2 \cdot 5$

Step 3.2.2

Multiply $2$ by $5$ .

$6 p + 8 = 6 p + 10$

Step 4

Move all terms containing $p$ to the left side of the equation.

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Step 4.1

Subtract $6 p$ from both sides of the equation.

$6 p + 8 - 6 p = 10$

Step 4.2

Combine the opposite terms in $6 p + 8 - 6 p$ .

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Step 4.2.1

Subtract $6 p$ from $6 p$ .

$0 + 8 = 10$

Step 4.2.2

Add $0$ and $8$ .

$8 = 10$

Step 5

Since $8 \neq 10$ , there are no solutions.

No solution